THEOREM OF THE DAY: The Central Limit Theorem

Theorem

Suppose $S_1, S_2, S_3, . . .$ are sets of size n obtained by sampling, with replacement, from some distribution having finite mean µ and finite nonzero variance $σ^2$. Then the sample means $s_1, s_2, s_3, . . .$ are asymptotically (as $n → ∞$) normally distributed with mean µ and variance $σ^2/n$.

Click on the image.